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Finding the Fourth Proportional to 7,429.61, 10,252.41 and 4,071.75

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Solution

The fourth proportional to 7,429.61, 10,252.41 and 4,071.75 is: 5,618.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.61 : 10,252.41 = 4,071.75 : x
  2. Step 2: Convert to fraction form
    7,429.61/10,252.41 = 4,071.75/x
  3. Step 3: Cross multiply
    7,429.61x = 10,252.41 × 4,071.75
  4. Step 4: Simplify right side
    7,429.61x = 41,745,250.42
  5. Step 5: Solve for x
    x = 41,745,250.42/7,429.61
  6. Step 6: Final answer
    x = 5,618.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.